Analytic varieties with finite volume amoebas are algebraic
-
Farid Madani
and
Mounir Nisse
Abstract
In this paper, we study the amoeba volume of a given k-dimensional generic analytic variety V of the complex algebraic torus
Funding source: Alexander von Humboldt Foundation
Funding source: Mathematisches Forschungsinstitut Oberwolfach
Award Identifier / Grant number: Oberwolfach Leibniz Fellows
Funding source: NSF MCS
Award Identifier / Grant number: DMS-0915245
The authors thank the referee for useful comments which resulted in a better presentation of the paper.
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Cosmetic surgeries on knots in S3
- Integral points in two-parameter orbits
- Arithmetic moduli and lifting of Enriques surfaces
- Analytic varieties with finite volume amoebas are algebraic
- Vanishing resonance and representations of Lie algebras
- A new notion of angle between three points in a metric space
- Asymptotics of the Yang–Mills flow for holomorphic vector bundles over Kähler manifolds: The canonical structure of the limit
- An Oka principle for equivariant isomorphisms
- Birkhoff matrices, residues and rigidity for q-difference equations
Articles in the same Issue
- Frontmatter
- Cosmetic surgeries on knots in S3
- Integral points in two-parameter orbits
- Arithmetic moduli and lifting of Enriques surfaces
- Analytic varieties with finite volume amoebas are algebraic
- Vanishing resonance and representations of Lie algebras
- A new notion of angle between three points in a metric space
- Asymptotics of the Yang–Mills flow for holomorphic vector bundles over Kähler manifolds: The canonical structure of the limit
- An Oka principle for equivariant isomorphisms
- Birkhoff matrices, residues and rigidity for q-difference equations
